If log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is:

(a)0.6532 (b)0.7727 (c)0.3266 (d)0.3796 (e)none of these

• (a)0.6532
  log 3 + log 3 = log (3*3) ->log 9 = 0.4771 + 0.4771 = 0.9542
  now
  log 9 - log 2 = log (9/2) =log 4.5
  -> log 4.5 = 0.9542 - 0.3010 = 0.6532
  this too is a repeated question
• 13 years agoHelpfull: Yes(2) No(1)
• 4.5 = 9/2= (3^2)/2
  
  Taking log of both sides,
  log 4.5 = 2 log 3 - log 2 = 2*0.4771-0.301 = 0.9542-0.3010= 0.6532
• 13 years agoHelpfull: Yes(2) No(0)
• log4.5
  =log(45/10)
  =log(9/2)
  =log9-log2
  =log3^2-log2
  =2log3-log2
  =(2*.4771)-.3010
  =.6532 so ans is(a).
• 13 years agoHelpfull: Yes(2) No(1)
• log3+log3=log9;
  log9-log2=log4.5;
  0.9542-0.3010=0.6532
  
• 13 years agoHelpfull: Yes(1) No(0)